A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications

Norio Yoshida

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 3, page 306-317
  • ISSN: 0392-7881

How to cite

top

Yoshida, Norio. "A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.3 (1975): 306-317. <http://eudml.org/doc/291300>.

@article{Yoshida1975,
author = {Yoshida, Norio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {3},
number = {3},
pages = {306-317},
publisher = {Accademia Nazionale dei Lincei},
title = {A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications},
url = {http://eudml.org/doc/291300},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Yoshida, Norio
TI - A Picone Identity for Elliptic Differential Operators of Order 4 m with Applications
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/3//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 3
SP - 306
EP - 317
LA - eng
UR - http://eudml.org/doc/291300
ER -

References

top
  1. AGMON, S. (1965) - Lectures on Elliptic Boundary Value Problems, Van Nostrand. Zbl0142.37401MR178246
  2. CHAN, C. Y. and YOUNG, E. C. (1972) - Comparison theorems for fourth order quasi-linear matrix differential inequalities, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 52, 334-341. MR348243
  3. CHOW, S.-N. and DUNNINGER, D. R. (1974) - Local uniqueness theorems for a class of higher order elliptic equations, «SIAM J. Math. Anal.», 5, 224-229. Zbl0289.35033MR382842DOI10.1137/0505024
  4. DIAZ, J. B. and DUNNINGER, D. R. (1974) - Sturmian theorems for a class of elliptic equations of order 4 m, «Appl. Anal.», 3, 333-344. Zbl0304.35004MR470427DOI10.1080/00036817408839075
  5. DUNNINGER, D. R. (1970) - A Picone identity for non-self-adjoint elliptic operators, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 48, 133-139. Zbl0195.39403MR299926
  6. DUNNINGER, D. R. (1971) - A Picone integral identity for a class of fourth order elliptic differential inequalities, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 50, 630-641. Zbl0249.35023MR312039
  7. KREITH, K. (1968) - A generalized Picone identity, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 45, 217-220. Zbl0194.42002MR251371
  8. KREITH, K. (1970) - A comparison theorem for general elliptic equations with mixed boundary conditions, «J. Differential Equations», 8, 537-541. Zbl0206.11304MR265737DOI10.1016/0022-0396(70)90026-4
  9. KREITH, K. (1971) - A Picone identity for strongly elliptic systems, «Duke Math. J.», 38, 473-481. Zbl0221.35026MR280844
  10. KREITH, K. and TRAVIS, C. C. (1971) - On a comparison theorem for strongly elliptic systems, «J. Differential Equations», 10, 173-178. Zbl0214.35904MR294842DOI10.1016/0022-0396(71)90104-5
  11. KUSANO, T. and YOSHIDA, N. - Comparison and nonoscillation theorems for fourth order elliptic systems, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.» (to appear). Zbl0335.35007MR425319
  12. PICONE, M. (1911) - Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur.», 20, 213-219. Zbl42.0391.01
  13. SWANSON, C. A. (1972) - Remarks on Picone's identity and related identities, «Atti Accad. Naz. Lincei, Mem. Cl. Sci. Fis. Mat. Natur.», sez. I, 11, 3-15. MR594988
  14. WONG, P. K. (1972) - Integral inequalities of Wirtinger-type and fourth-order elliptic differential inequalities, «Pacific J. Math.», 40, 739-751. Zbl0228.35037MR306686
  15. YOSHIDA, N. (1975) - Nonoscillation criteria for fourth order elliptic equations, «Hiroshima Math. J.», 5, 23-31. Zbl0305.35005MR387788

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.